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Equation 7 · Part 5 · How Edge AI Electronics and Sensor Systems Actually Work

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Pavg=d⋅Pactive+(1−d)⋅PsleepP_{\text{avg}} = d \cdot P_{\text{active}} + (1-d) \cdot P_{\text{sleep}}
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What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

and the sustainable average power of an always-on system operating at duty cycle d (the fraction of time spent active rather than in a low-power sleep state) is Pavg=d⋅Pactive+(1−d)⋅PsleepP_{\text{avg}} = d \cdot P_{\text{active}} + (1-d) \cdot P_{\text{sleep}}. This identity is trivial algebraically, but it is exactly the trade a systems designer is making when choosing between “a bigger, slower model that runs less often” and “a smaller, faster model that still meets the same detection latency.” Neither PactiveP_{\text{active}} nor tactivet_{\text{active}} is fixed by the model architecture alone; both depend on the accelerator the model runs on.

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.